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Finding the Third Proportional to 219,022.50 and 320,218.50

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Solution

The third proportional to 219,022.50 and 320,218.50 is: 468,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,022.50 : 320,218.50 = 320,218.50 : x
  2. Step 2: Convert to fraction form
    219,022.50/320,218.50 = 320,218.50/x
  3. Step 3: Cross multiply
    219,022.50x = 320,218.50 × 320,218.50
  4. Step 4: Simplify right side
    219,022.50x = 102,539,887,742.25
  5. Step 5: Solve for x
    x = 102,539,887,742.25/219,022.50
  6. Step 6: Final answer
    x = 468,170.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.